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【英文篇名】 |
The Existence of (V,6,3)-PMDs |
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【下载频次】 |
☆ |
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【作者】 |
殷剑兴; |
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【英文作者】 |
Yin Jianxing(Department of Mathematics;
Suzhou University;
215006); |
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【作者单位】 |
苏州大学数学系; |
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【文献出处】 |
应用数学
, Mathematica Applicata, 编辑部邮箱
1993年 04期
期刊荣誉：中文核心期刊要目总览 ASPT来源刊 CJFD收录刊 |
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【中文关键词】 |
完全的门德尔逊设计;
成对平衡设计;
存在性; |
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【英文关键词】 |
PMDs;
PBDs;
Existence; |
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【摘要】 |
一个参数为(v,k,λ)的完全的门德尔逊设计简记为(v,k,λ)-PMD.对于是k=3,4,5及7这类设计的存在性问题已被不少作者研究.文[8]对最近的结果和方法作了评述。但对于(v,6,λ)-PMDs的存在性问题尚待人们去解决.一个(v,6,λ)-PMD存在的必要条件是:(1)v≡0,1(mod3),当λ(?)0(mod3);(2)v≥6,当λ≡0(mod3).由此看出,为着对所有的指标λ研究一个(v,6,λ)-PMD的存在性,我们仅需考虑情形λ=1及λ=3.本文证明了,对v≥6除了27个可能的例外,一个(v,6,3)-PMD存在. |
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【英文摘要】 |
The existence of a (v,k,λ)-perfect Mendelsohn design (PMD) with k=3,4,5 or 7 has been studied by some authors. A survey of recent results can be found in [8]. However the existence for (v,6,λ)-PMDs remains to be done. The necessary condition for the existence of a (v,6,λ)-PMD is (1) v=0 or 1(mod 3)with λ(?)0 (mod 3),(2) all v≥6 with λ≡0(mod 3). So instead of investigating the existence of a (v,6,λ)-PMD for all λ, it suffices to consider the cases λ=1 and λ=3. In this paper, it is shown that a (v,6,3)-PMD ex... |
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【更新日期】 |
2006-10-17 |
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【正文快照】 |
1 Introduetion The eoneept of a perfeet eyelie design was introdueed by N.5.Mendelsohn[6」.This eon-eept was further studied in a subsequent paper巨‘〕,where the notion of resolvability was dis-eussed and assoeiations made with eertain elasses of quasigr |
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